6533b821fe1ef96bd127bab7

RESEARCH PRODUCT

Holomorphically ultrabornological spaces and holomorphic inductive limits

Domingo GarcíaManuel MaestrePablo Galindo

subject

Discrete mathematicsPure mathematicsMathematics::Complex VariablesApplied MathematicsLocally convex topological vector spaceHolomorphic functionMathematics::Symplectic GeometryAnalysisMathematics

description

Abstract The holomorphically ultrabornological spaces are introduced. Their relation with other holomorphically significant classes of locally convex spaces is established and separating examples are given. Some apparently new properties of holomorphically barrelled spaces are included and holomorphically ultrabornological spaces are utilized in a problem posed by Nachbin.

10.1016/0022-247x(87)90020-5http://dx.doi.org/10.1016/0022-247X(87)90020-5